QuestionIs 4328 divisible by 9?

Studdy Solution

STEP 1

Assumptions1. The number in question is4328. We are checking if this number is divisible by9

STEP 2

A number is divisible by9 if the sum of its digits is divisible by9. This is a rule of divisibility for the number9.

STEP 3

First, we need to find the sum of the digits of the number4328.
$Sum\, of\, digits = +3 +2 +8$

STEP 4

Calculate the sum of the digits.
$Sum\, of\, digits =4 +3 +2 +8 =17$

STEP 5

Now, we need to check if the sum of the digits (17) is divisible by9.

STEP 6

If the remainder when17 is divided by9 is0, then17 (and thus4328) is divisible by9. Otherwise, it is not. $Remainder =17 \mod9$

STEP 7

Calculate the remainder.
$Remainder =17 \mod9 =$ Since the remainder is not0,432 is not divisible by9.

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QuestionIs 4328 divisible by 9?

Studdy Solution

STEP 1

Assumptions1. The number in question is4328. We are checking if this number is divisible by9

STEP 2

A number is divisible by9 if the sum of its digits is divisible by9. This is a rule of divisibility for the number9.

STEP 3

First, we need to find the sum of the digits of the number4328.
$Sum\, of\, digits = +3 +2 +8$

STEP 4

Calculate the sum of the digits.
$Sum\, of\, digits =4 +3 +2 +8 =17$

STEP 5

Now, we need to check if the sum of the digits (17) is divisible by9.

STEP 6

If the remainder when17 is divided by9 is0, then17 (and thus4328) is divisible by9. Otherwise, it is not. $Remainder =17 \mod9$

STEP 7

Calculate the remainder.
$Remainder =17 \mod9 =$ Since the remainder is not0,432 is not divisible by9.

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QuestionIs 4328 divisible by 9?

Studdy Solution

STEP 1

Assumptions1. The number in question is4328. We are checking if this number is divisible by9

STEP 2

A number is divisible by9 if the sum of its digits is divisible by9. This is a rule of divisibility for the number9.

STEP 3

First, we need to find the sum of the digits of the number4328.Sum of digits=+3+2+8Sum\, of\, digits = +3 +2 +8Sumofdigits=+3+2+8

STEP 4

Calculate the sum of the digits.Sum of digits=4+3+2+8=17Sum\, of\, digits =4 +3 +2 +8 =17Sumofdigits=4+3+2+8=17

STEP 5

Now, we need to check if the sum of the digits (17) is divisible by9.

STEP 6

If the remainder when17 is divided by9 is0, then17 (and thus4328) is divisible by9. Otherwise, it is not.Remainder=17mod 9Remainder =17 \mod9Remainder=17mod9

STEP 7

Calculate the remainder.Remainder=17mod 9=Remainder =17 \mod9 =Remainder=17mod9=Since the remainder is not0,432 is not divisible by9.

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First, we need to find the sum of the digits of the number4328.
$Sum\, of\, digits = +3 +2 +8$

Calculate the sum of the digits.
$Sum\, of\, digits =4 +3 +2 +8 =17$

If the remainder when17 is divided by9 is0, then17 (and thus4328) is divisible by9. Otherwise, it is not. $Remainder =17 \mod9$

Calculate the remainder.
$Remainder =17 \mod9 =$ Since the remainder is not0,432 is not divisible by9.